SECONDARY MATH 1 // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.3

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2.3 Linear, Exponential or Neither?

A Practice Understanding Task

Foreachrepresentationofafunction,decideifthefunctionislinear,exponential,orneither.Giveatleast2reasonsforyouranswer.

1.

Linear Exponential Neither Why?

2. TennisTournament

Rounds 1 2 3 4 5Number

ofPlayersleft

64 32 16 8 4

Thereare4playersremainingafter5rounds

Linear Exponential Neither Why?

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SECONDARY MATH 1 // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.3

Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

3.! = 4!

Linear Exponential Neither Why?

4.Thisfunctionisdecreasingataconstantrate.

Linear Exponential NeitherWhy?

5. Linear Exponential NeitherWhy?

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SECONDARY MATH 1 // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.3

Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

6.Aperson'sheightasafunctionofaperson'sage(fromage0to100)

Linear Exponential NeitherWhy?

7.−3! = 4! + 7

Linear Exponential NeitherWhy?

8.x y-2 230 52 -134 -316 -49

Linear Exponential NeitherWhy?

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SECONDARY MATH 1 // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.3

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9.HeightinInches ShoeSize

62 674 1370 967 1153 458 7

Linear Exponential NeitherWhy?

10.ThenumberofcellphoneusersinCentervilleasafunctionofyears,ifthenumberofusersisincreasingby75%eachyear.

Linear Exponential NeitherWhy?

11. Linear Exponential NeitherWhy?

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SECONDARY MATH 1 // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.3

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12.Thetimeittakesyoutogettoworkasafunctionthespeedatwhichyoudrive

Linear Exponential NeitherWhy?

13.! = 7!!

Linear Exponential NeitherWhy?

14.Eachpointonthegraphisexactly1/3ofthepreviouspoint.

Linear Exponential NeitherWhy?

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SECONDARY MATH 1 // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.3

Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

15.! 1 = 7, ! 2 = 7, ! ! = ! ! − 1 + !(! − 2)

Linear Exponential NeitherWhy?

16.! 1 = 1, ! ! = 2

3 !(! − 1)

Linear Exponential NeitherWhy?

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